Parallel and Perpendicular Lines Worksheet



Mathematician _________________________________________ PD ______ Date ________

Parallel and Perpendicular Lines REVIEW

Write the equation in slope intercept form of the line parallel and line perpendicular to given line through given point. Parallel Perpendicular

1) y = 4x + 7 (─2, ─9) ____________________ __________________

2) 2x ─ 5y = 10 (3, ─7) _____________________ __________________

3) 3x + 4y = 16 (12, ─5) _____________________ ___________________

Write the equation of the perpendicular bisector of[pic].

4) A (3, ─6) B (7, 2) 5) A (2, 5) B (6, ─7)

In slope intercept form______________________ In Point – Slope ________________________

Determine whether lines are parallel, perpendicular, or oblique by using slope.

6) A (8, 1) B (0, ─1) 7) E(-2, 3) F(6, 1)

C (7, 9) D (1, 5) G(6, 4) H(2, 5)

State if the lines are Parallel, Perpendicular, or Oblique

8) 6x ─ 12y = 24 9) 4x + y = 5 10) ─2x + 7y = 14

4x + 2y = 8 3x +12y = ─6 4x = 14y

11) Write the equation of a vertical line through (-3, 0).

12) Write the equation of a horizontal line through (0. 8).

Solve the systems of equations. State whether the lines are intersecting, parallel, or coincident.

13) 3x + 2y = 19 14) 3x ─ 2y = 2 15) 4x ─ 3y = 12

4x ─ 5y = 10 6x ─ 4y = 4 ─12x + 9y = 10

State whether the 3 points form a right triangle. If so, which angle is the right angle?

16) A(1, 0) B(2, 7) C(5, 1) 17) A(─2, 4) B(2, 1) C(1, 8)

18) Write and solve an inequality for x.

-----------------------

3x + 8

14

1. || y=4x-1 [pic]y=-1/4x-19/2 2. . || y=2/5x-41/5 [pic]y=-5/2x+1/2 3. . || y=-3/4x+4 [pic]y=4/3x-21 4. y=1/2x+1/2 5. y+1=1/3(x-4) 6. oblique

7. parallel 8. perpendicular 9. oblique 10. parallel 11. x=-3 12. y=8 13. intersecting 14. coinciding 15. parallel 16. not right triangle

17. [pic]is right angle 18. x>2

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